16 citations · 91 across the 26 of their papers we have counts for
7 papers · 1 filter
From zero solutions with partially bounded supports to solvability and Runge approximation for partial differential equations
Tomasz Ciás, Thomas Kalmes
The existence of non-trivial solutions of homogeneous partial differential equations with prescribed support properties plays a fundamental role in the theory of linear partial dif…
Runge type approximation results for spaces of smooth Whitney jets
Tomasz Ciaś, Thomas Kalmes
We prove Runge type approximation results for linear partial differential operators with constant coefficients on spaces of smooth Whitney jets. Among others, we characterize when…
Quantitative Runge type approximation theorems for zero solutions of certain partial differential operators
Andreas Debrouwere, Thomas Kalmes
We prove quantitative Runge type approximation results for spaces of smooth zero solutions of several classes of linear partial differential operators with constant coefficients. A…
Integrability and Approximability of Solutions to the Stationary Diffusion Equation with Lévy Coefficient
Oliver G. Ernst, Hanno Gottschalk, Thomas Kalmes +2
We investigate the stationary diffusion equation with a coefficient given by a (transformed) Lévy random field. Lévy random fields are constructed by smoothing Lévy noise fields wi…
Boundary values of zero solutions of hypoelliptic differential operators in ultradistribution spaces
Andreas Debrouwere, Thomas Kalmes
We study ultradistributional boundary values of zero solutions of a hypoelliptic constant coefficient partial differential operator on . Our…
An approximation theorem of Runge type for kernels of certain non-elliptic partial differential operators
Thomas Kalmes
For a constant coefficient partial differential operator with a single characteristic direction such as the time-dependent free Schrödinger operator as well as non-degenerat…
Surjectivity of differential operators and linear topological invariants for spaces of zero solutions
Thomas Kalmes
We provide a sufficient condition for a linear differential operator with constant coefficients to be surjective on and , respectively, where…